Respuesta :

GCF is a shared factor
14x^2 and 4xy share the greatest factor of 2x

Answer:

[tex]2x[/tex]

Step-by-step explanation:

We are given that two terms [tex]14x^2[/tex] and [tex]4xy[/tex]

We have to find GCF of given two terms

[tex]14x^2=2\times 7\times x\times x[/tex]

[tex]4xy=2\times 2\times x\times y[/tex]

Common  factor of two terms are 2 and x.

Therefore, GCF=[tex]2\times x=2x[/tex]

Hence, the GCF of  [tex]14x^2[/tex] and [tex]4xy[/tex] is given by

[tex]2x[/tex].

Answer: [tex]2x[/tex]